Add/Subtract Polynomials
Multiply Polynomials
Factoring
Solving Quadratics
Evaluate and Vertex
Parabola Features
Word Problems
100
(x2 + x - 2) + (-2x2 - 9x - 7)
-x2 - 8x - 9
100
(x - 6)(x - 5)
x2 - 11x + 30
100
14x + 63
7(2x + 9)
100
x2 - 5x = 0
x=0 x=5
100
Given f(x) = 3x2 + 16, find f(-4)
64
100
(0, -5)
100
24 seconds
200
(-7x2 + 3x − 10) + (-6x2 − 10x + 3)
-13x2 − 7x − 7
200
(3x + 10)(3x - 5)
9x2 + 15x - 50
200
x2 - 49
(x - 7)(x + 7)
200
x2 - 16 = 0
x=4 x=-4
200
Given f(x) = 3x2 - 5x + 20, find f(-8)
252
200
(-5, 9)
200
18 seconds
300
(10x2 + 8x − 5) −(-9x2 − 3x − 4)
19x2 + 11x − 1
300
(x - 5)2
x2 - 10x + 25
300
x2 - 3x - 40
(x + 5)(x - 8)
300
x2 - 5x + 6 = 0
x=3 x=2
300
Given f(x) = -3x2 − x − 15, find f(−8)
-199
300
(1, 0) and (5, 0)
300
30.625
400
Subtract 7x2 − x −1 from x2 + 3x + 3
-6x2 + 4x + 4
400
(4x + 5)(x2 - 2x + 5)
4x3 - 3x2 + 10x + 25
400
5x2 - 18x + 9
(5x - 3)(x - 3)
400
x2 - 2x - 28 = -6x + 4
x=4 x=-8
400
Find the vertex of
y = -3x2 + 18x - 15
(3, 12)
400
x = -4
400
Kehlani launches a toy rocket from a platform. The height of the rocket in feet is given by h(t)= -16t2 + 72t +144 where t represents the time in seconds after launch. How long is the rocket in the air?
6 seconds
500
Subtract -9x2 + 4x from -8x2 + 8x − 10.
x2 + 4x - 10
500
(4x - 1)(-3x2 - 2x - 6)
-12x3 - 5x2 - 22x + 6
500
4x2 + 8x - 60
4(x - 3)(x + 5)
500
5x2 + 18x - 8 = 0
x=2/5 x=-4
500
Find the vertex of
y = -x2 - 14x - 47
(-7, 2)
500
(-5, 0) and (1, 0)
500
A rocket is launched in the air. Its height in feet is given by h(t) = -16t2 + 32t where t represents the time in seconds after launch. How many seconds have gone by when the rocket is at its highest point?
1 second